  Home  AP Physics B. Closed / Both Ends L = distance between walls String fixed at both ends  or Open Pipe Both ends L = (nl/2) n = 1,2,3 .... since v=fl then fn = n[v/2L]   n = 1,2,3 .... Each frequency is a multiple of the fundamental frequency     C. Closed at One End L= [n/4]l n = 1,3,5,7 ..... since v=fl then fn = nv/4L n = 1,3,5,7 ..... frequency goes up by 2 times fundamental and are divisible by ODD number   D. Open at Both Ends 1/2, 2/2, 3/2, 4/2   L = n(1/2)λ   Giancoli p. 348) 34, 36   34) Closed 88 Hz is fundamental 36) Open Pipe Fundamental 40 Hz, both are even number multiples of 40 not odd multiple of 20   f = v/2L = 40 Hz = (340 m/s)/2L   L = 4.3 m     Review Book p. 302) 10.   Open at one end n = 1 fundamental f = v/4L = 340 m/s/(4 x .17) = 500 Hz   p. 303) 10       Beats - Rhythmic interference between two semi identical frequency sources   Beat Frequency = |f1 - f2|   Resonance  Enrichment  Berkeley Univ. (Chladni Disk) Water Drop in Zero g School blocks YouTube? Download the file below. Standing Waves HyperPhysics (offsite) ©Tony Mangiacapre., - All Rights Reserved [Home] Established 1995 Use any material on this site (w/ attribution)